order of operations with exponents

Front

What is the order of operations in mathematics?

Back

The order of operations is a set of rules that determines the sequence in which calculations are performed. The acronym PEMDAS is often used: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Front

What does 'exponent' mean in mathematics?

Back

An exponent is a number that indicates how many times to multiply the base by itself. For example, in 2^3, 2 is the base and 3 is the exponent, meaning 2 x 2 x 2.

Front

What is the value of 2^3?

Back

The value of 2^3 is 8, because 2 x 2 x 2 = 8.

Front

What does the term 'squared' mean?

Back

The term 'squared' means raised to the power of 2.

Front

What is the value of 3 x 2^2 + 24 ÷ 8?

Back

The value is 15.

Front

What is the value of 8 + 3 x (5 + 2) - 7 x 2?

Back

The value is 15.

Front

What is the base in the expression 3^4?

Back

The base is 3.

Front

What is the value of (49 - 5^2) ÷ 2^3?

Back

The value is 3.

Front

What is the first step in solving an expression with parentheses?

Back

The first step is to solve the operations inside the parentheses.

Front

How do you handle multiplication and division in the order of operations?

Back

Multiplication and division are performed from left to right as they appear in the expression.